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Avtomatika i Telemekhanika, 2018, Issue 8, Pages 81–100 (Mi at14970)  
This article is cited in 7 scientific papers (total in 7 papers)

Stochastic Systems

Terminal invariance of stochastic diffusion systems

M. M. Khrustalevab

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
b Moscow Aviation Institute, Moscow, Russia
Full-text PDF (2227 kB) Citations (7)
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Abstract: For a controlled stochastic diffusion system, we obtain sufficient conditions for the terminal criterion to be constant with probability one on the assumption of fixed initial state (invariance in perturbations) and sufficient conditions for the terminal criterion to be independent with probability one both from the realization of the random process and the initial conditions (absolute invariance).
Keywords: stochastic systems, weak invariance, absolute invariance, control.
Funding agency Grant number
Russian Foundation for Basic Research 16-08-00472
This work was supported in part by the Russian Foundation for Basic Research, project no. 16-08-00472.
Presented by the member of Editorial Board: S. N. Vassilyev

Received: 17.01.2018
English version:
Automation and Remote Control, 2018, Volume 79, Issue 8, Pages 1434–1449
DOI: https://doi.org/10.1134/S0005117918080064
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. M. Khrustalev, “Terminal invariance of stochastic diffusion systems”, Avtomat. i Telemekh., 2018, no. 8, 81–100; Autom. Remote Control, 79:8 (2018), 1434–1449
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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